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Finding the Fourth Proportional to 166,097.20, 249,097.20 and 59,468.80

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Solution

The fourth proportional to 166,097.20, 249,097.20 and 59,468.80 is: 89,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,097.20 : 249,097.20 = 59,468.80 : x
  2. Step 2: Convert to fraction form
    166,097.20/249,097.20 = 59,468.80/x
  3. Step 3: Cross multiply
    166,097.20x = 249,097.20 × 59,468.80
  4. Step 4: Simplify right side
    166,097.20x = 14,813,511,567.36
  5. Step 5: Solve for x
    x = 14,813,511,567.36/166,097.20
  6. Step 6: Final answer
    x = 89,185.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.